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| Original file line number | Diff line number | Diff line change |
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| --- | ||
| layout: default | ||
| title: Median absolute deviation | ||
| parent: Metric aggregations | ||
| grand_parent: Aggregations | ||
| nav_order: 65 | ||
| redirect_from: | ||
| - /query-dsl/aggregations/metric/median-absolute-deviation/ | ||
| --- | ||
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| # Median absolute deviation aggregations | ||
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| The `median_absolute_deviation` metric is a single-value metric aggregation that returns a median absolute deviation field. Median absolute deviation is a statistical measure of data variability. Because the median absolute deviation measures dispersion from the median, it provides a more robust measure of variability that is less affected by outliers in a dataset. | ||
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| Median absolute deviation is calculated as follows:<br> | ||
| median_absolute_deviation = median(|X<sub>i</sub> - Median(X<sub>i</sub>)|) | ||
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| The following example calculates the median absolute deviation of the `DistanceMiles` field in the sample dataset `opensearch_dashboards_sample_data_flights`: | ||
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| ```json | ||
| GET opensearch_dashboards_sample_data_flights/_search | ||
| { | ||
| "size": 0, | ||
| "aggs": { | ||
| "median_absolute_deviation_DistanceMiles": { | ||
| "median_absolute_deviation": { | ||
| "field": "DistanceMiles" | ||
| } | ||
| } | ||
| } | ||
| } | ||
| ``` | ||
| {% include copy-curl.html %} | ||
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| #### Example response | ||
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| ```json | ||
| { | ||
| "took": 35, | ||
| "timed_out": false, | ||
| "_shards": { | ||
| "total": 1, | ||
| "successful": 1, | ||
| "skipped": 0, | ||
| "failed": 0 | ||
| }, | ||
| "hits": { | ||
| "total": { | ||
| "value": 10000, | ||
| "relation": "gte" | ||
| }, | ||
| "max_score": null, | ||
| "hits": [] | ||
| }, | ||
| "aggregations": { | ||
| "median_absolute_deviation_distanceMiles": { | ||
| "value": 1829.8993624441966 | ||
| } | ||
| } | ||
| } | ||
| ``` | ||
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| ### Missing | ||
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| By default, if a field is missing or has a null value in a document, it is ignored during computation. However, you can specify a value to be used for those missing or null fields by using the `missing` parameter, as shown in the following request: | ||
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| ```json | ||
| GET opensearch_dashboards_sample_data_flights/_search | ||
| { | ||
| "size": 0, | ||
| "aggs": { | ||
| "median_absolute_deviation_distanceMiles": { | ||
| "median_absolute_deviation": { | ||
| "field": "DistanceMiles", | ||
| "missing": 1000 | ||
| } | ||
| } | ||
| } | ||
| } | ||
| ``` | ||
| {% include copy-curl.html %} | ||
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| #### Example response | ||
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| ```json | ||
| { | ||
| "took": 7, | ||
| "timed_out": false, | ||
| "_shards": { | ||
| "total": 1, | ||
| "successful": 1, | ||
| "skipped": 0, | ||
| "failed": 0 | ||
| }, | ||
| "hits": { | ||
| "total": { | ||
| "value": 10000, | ||
| "relation": "gte" | ||
| }, | ||
| "max_score": null, | ||
| "hits": [] | ||
| }, | ||
| "aggregations": { | ||
| "median_absolute_deviation_distanceMiles": { | ||
| "value": 1829.6443646143355 | ||
| } | ||
| } | ||
| } | ||
| ``` | ||
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| ### Compression | ||
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| The median absolute deviation is calculated using the [t-digest](https://github.com/tdunning/t-digest/tree/main) data structure, which balances between performance and estimation accuracy through the `compression` parameter (default value: `1000`). Adjusting the `compression` value affects the trade-off between computational efficiency and precision. Lower `compression` values improve performance but may reduce estimation accuracy, while higher values enhance accuracy at the cost of increased computational overhead, as shown in the following request: | ||
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| ```json | ||
| GET opensearch_dashboards_sample_data_flights/_search | ||
| { | ||
| "size": 0, | ||
| "aggs": { | ||
| "median_absolute_deviation_DistanceMiles": { | ||
| "median_absolute_deviation": { | ||
| "field": "DistanceMiles", | ||
| "compression": 10 | ||
| } | ||
| } | ||
| } | ||
| } | ||
| ``` | ||
| {% include copy-curl.html %} | ||
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| #### Example response | ||
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| ```json | ||
| { | ||
| "took": 1, | ||
| "timed_out": false, | ||
| "_shards": { | ||
| "total": 1, | ||
| "successful": 1, | ||
| "skipped": 0, | ||
| "failed": 0 | ||
| }, | ||
| "hits": { | ||
| "total": { | ||
| "value": 10000, | ||
| "relation": "gte" | ||
| }, | ||
| "max_score": null, | ||
| "hits": [] | ||
| }, | ||
| "aggregations": { | ||
| "median_absolute_deviation_DistanceMiles": { | ||
| "value": 1836.265614211182 | ||
| } | ||
| } | ||
| } | ||
| ``` |
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